TSTP Solution File: SYN128-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN128-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:36:58 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   33 (  13 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   68 (  38   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1346,plain,
    $false,
    inference(resolution,[],[f1338,f801]) ).

fof(f801,plain,
    k3(d,d,d),
    inference(resolution,[],[f796,f1]) ).

fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f796,plain,
    ! [X0] :
      ( ~ s0(X0)
      | k3(X0,X0,X0) ),
    inference(resolution,[],[f456,f377]) ).

fof(f377,plain,
    l1(d,d),
    inference(resolution,[],[f40,f34]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

fof(f456,plain,
    ! [X2,X0,X1] :
      ( ~ l1(X0,X1)
      | k3(X2,X2,X2)
      | ~ s0(X2) ),
    inference(resolution,[],[f173,f250]) ).

fof(f250,axiom,
    ! [X11] :
      ( ~ m2(X11)
      | k3(X11,X11,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_212) ).

fof(f173,axiom,
    ! [X9,X4,X5] :
      ( m2(X9)
      | ~ l1(X4,X5)
      | ~ s0(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_135) ).

fof(f1338,plain,
    ! [X0,X1] : ~ k3(X0,X0,X1),
    inference(resolution,[],[f1337,f26]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f1337,plain,
    ! [X2,X0,X1] :
      ( ~ n0(X2,c)
      | ~ k3(X0,X0,X1) ),
    inference(resolution,[],[f1334,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f1334,plain,
    ! [X2,X3] :
      ( ~ k1(c)
      | ~ k3(X2,X2,X3) ),
    inference(resolution,[],[f1332,f548]) ).

fof(f548,plain,
    ! [X2] : q2(X2,X2,X2),
    inference(subsumption_resolution,[],[f219,f429]) ).

fof(f429,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[],[f123,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f123,axiom,
    ! [X11,X6] :
      ( ~ p0(X6,X11)
      | p1(X11,X11,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).

fof(f219,axiom,
    ! [X2] :
      ( ~ p1(X2,X2,X2)
      | q2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).

fof(f1332,plain,
    ! [X10,X11,X9] :
      ( ~ q2(X11,X10,X10)
      | ~ k1(c)
      | ~ k3(X9,X9,X10) ),
    inference(subsumption_resolution,[],[f1331,f693]) ).

fof(f693,plain,
    ! [X0] : p2(X0,X0,X0),
    inference(resolution,[],[f511,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

fof(f511,plain,
    ! [X2,X3,X1] :
      ( ~ m0(X2,X3,X1)
      | p2(X1,X1,X1) ),
    inference(resolution,[],[f188,f52]) ).

fof(f52,axiom,
    ! [X8,X9,X4] :
      ( m1(X8,X8,X8)
      | ~ m0(X9,X4,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_014) ).

fof(f188,axiom,
    ! [X9,X4] :
      ( ~ m1(X4,X4,X9)
      | p2(X9,X9,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).

fof(f1331,plain,
    ! [X10,X11,X9] :
      ( ~ p2(X11,X11,X11)
      | ~ k1(c)
      | ~ k3(X9,X9,X10)
      | ~ q2(X11,X10,X10) ),
    inference(resolution,[],[f1327,f276]) ).

fof(f276,axiom,
    ! [X2] :
      ( m3(X2,X2,X2)
      | ~ p2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_238) ).

fof(f1327,plain,
    ! [X8,X6,X7,X5] :
      ( ~ m3(X7,X8,X7)
      | ~ k3(X5,X5,X6)
      | ~ q2(X7,X6,X6)
      | ~ k1(c) ),
    inference(resolution,[],[f333,f473]) ).

fof(f473,plain,
    ! [X0] :
      ( ~ q4(X0,X0)
      | ~ k1(c) ),
    inference(resolution,[],[f340,f369]) ).

fof(f369,axiom,
    ~ l5(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f340,axiom,
    ! [X2,X5] :
      ( l5(X5)
      | ~ q4(X2,X2)
      | ~ k1(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_302) ).

fof(f333,axiom,
    ! [X11,X8,X6,X9,X7] :
      ( q4(X11,X6)
      | ~ k3(X7,X7,X11)
      | ~ q2(X8,X6,X11)
      | ~ m3(X8,X9,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_295) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN128-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:33:18 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (5671)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (5671)Instruction limit reached!
% 0.20/0.50  % (5671)------------------------------
% 0.20/0.50  % (5671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (5687)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50  % (5679)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51  % (5686)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (5678)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (5671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (5671)Termination reason: Unknown
% 0.20/0.51  % (5671)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (5671)Memory used [KB]: 6268
% 0.20/0.51  % (5671)Time elapsed: 0.007 s
% 0.20/0.51  % (5671)Instructions burned: 7 (million)
% 0.20/0.51  % (5671)------------------------------
% 0.20/0.51  % (5671)------------------------------
% 0.20/0.53  % (5688)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (5665)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (5670)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (5668)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (5669)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54  % (5667)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (5676)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (5677)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (5675)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (5680)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (5689)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (5672)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (5692)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (5672)Instruction limit reached!
% 0.20/0.55  % (5672)------------------------------
% 0.20/0.55  % (5672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (5672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (5672)Termination reason: Unknown
% 0.20/0.55  % (5672)Termination phase: Blocked clause elimination
% 0.20/0.55  
% 0.20/0.55  % (5672)Memory used [KB]: 1407
% 0.20/0.55  % (5672)Time elapsed: 0.003 s
% 0.20/0.55  % (5672)Instructions burned: 3 (million)
% 0.20/0.55  % (5672)------------------------------
% 0.20/0.55  % (5672)------------------------------
% 0.20/0.55  % (5681)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (5664)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.55  % (5693)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55  % (5691)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55  % (5673)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (5684)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55  % (5685)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (5683)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (5666)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.56  % (5686)First to succeed.
% 0.20/0.56  Detected maximum model sizes of [5]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.57  % (5682)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57  % (5674)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.58  % (5686)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (5686)------------------------------
% 0.20/0.58  % (5686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (5686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (5686)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (5686)Memory used [KB]: 1791
% 0.20/0.58  % (5686)Time elapsed: 0.109 s
% 0.20/0.58  % (5686)Instructions burned: 38 (million)
% 0.20/0.58  % (5686)------------------------------
% 0.20/0.58  % (5686)------------------------------
% 0.20/0.58  % (5663)Success in time 0.228 s
%------------------------------------------------------------------------------